For each non-negative integer n, let X_n be the location of a random walk on S = {0,1,2,3,...] that takes a step to the right (i.e. in the positive direction] with probability p. So if the chain is at 0, there is probability 1-p of staying at 0 and if the chain is at any other integer, there is probability 1-p of taking a step to the left (Le. in the negative direction). Now, assume that p = 45 and we observe X_0 = 2. Let L1 be the conditional probability that the chain visits 0 eventually. Write the exact value of q as a decimal